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MR1984386 (2004j:35233) 35Q35 (35K55 65M70 76D05 76M22 76T99 82B26)
Liu, Chun; Shen, Jie A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Phys. D 179 (2003), no. 3-4, 211--228.
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